using?System;
using?System.Collections.Generic;
using?System.ComponentModel;
using?System.Data;
using?System.Drawing;
using?System.Linq;
using?System.Text;
using?System.Windows.Forms;
using?System.IO;
using?System.Diagnostics;

namespace?Circle_Fitting
{
????public?partial?class?Form1?:?Form
????{
????????private?DPoint[]?_Points;???//用來存儲產生的隨機點坐標
????????private?DPoint[]?_OrignalPoints;
????????private?int?_PointNum;?????//產生的隨機點的個數
????????bool?_IsCreatePoint?=?false;???????//隨機點是否生成成功????
????????bool?_IsFitting?=?false;
????????float?_centerX?_centerY?_R;??//這三個均是屏幕坐標

????????public?Form1（）
????????{
????????????InitializeComponent（）;

????????????_PointNum?=?1000;?????//設定有1000個點
????????????_IsCreatePoint?=?false;
????????????_IsFitting?=?false;
????????????_Points?=?new?DPoint[_PointNum];
????????????_OrignalPoints?=?_Points.Clone（）?as?DPoint[];

????????????this.openFileDialog1.FileName?=?“文本文檔“;
????????????this.numericUpDownPointNum.Value?=?20;
????????????this.CenterLabel.Text?=?_centerX.ToString（）?+?““?+?_centerY.ToString（）;
????????????this.RadiusLabel.Text?=?_R.ToString（）;
????????}

????????///?

????????///?通過隨機函數產生隨機點
????????///?

????????private?void?CreateRandomPoints（）
????????{
????????????Random?ro?=?new?Random（）;
????????????for?（int?i?=?0;?i?????????????{
????????????????for?（int?j?=?0;?j?????????????????{
????????????????????int?iMin?=?0?iMax?=?500;
????????????????????float?x?=?ro.Next（iMin?iMax）?-?250;
????????????????????float?y?=?ro.Next（iMin?iMax）?-?250;
????????????????????float?dist?=?（float）Math.Sqrt（x?*?x?+?y?*?y）;
????????????????????if?（dist?>?150?&&?dist?????????????????????{
????????????????????????_Points[i]?=?new?DPoint（x?y）;
????????????????????}
????????????????}
????????????}
????????????_OrignalPoints?=?_Points.Clone（）?as?DPoint[];
????????}

????????///?

????????///?坐標轉換，將實際坐標轉成屏幕坐標
????????///?

????????private?void?CoordinatesTransformation（）
????????{
????????????for（int?i=0;i<_PointNum;i++）
????????????{
????????????????_Points[i].X?+=?250;
????????????????_Points[i].Y?=?-_Points[i].Y?+?250;
????????????}

????????}

????????///?

????????///?最小二乘法，得到圓心坐標和半徑三個數據
????????///?

????????private?void?LeastSquareFitting（）
????????{
????????????if?（_PointNum?????????????????return;

????????????float?x1?=?0.0f;??//x一次方的初值
????????????float?y1?=?0.0f;
????????????float?x2?=?0.0f;??//x平方的初始值
????????????float?y2?=?0.0f;
????????????float?x3?=?0.0f;??//x立方的初始值
????????????float?y3?=?0.0f;
????????????float?x1y1?=?0.0f;
????????????float?x1y2?=?0.0f;
????????????float?x2y1?=?0.0f;

????????????for?（int?i?=?0;?i?????????????{
????????????????x1?=?x1?+?_Points[i].X;
????????????????y1?=?y1?+?_Points[i].Y;
????????????????x2?=?x2?+?_Points[i].X?*?_Points[i].X;
????????????????y2?=?y2?+?_Points[i]

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件?????153088??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\Circle?Fitting.exe

?????文件??????34304??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\Circle?Fitting.pdb

?????文件??????14328??2010-12-15?19:10??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\Circle?Fitting.vshost.exe

?????文件????????490??2007-07-21?01:33??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\Circle?Fitting.vshost.exe.manifest

?????文件??????67646??2010-07-05?21:12??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\designFloat?copy.ico

?????文件????????856??2010-12-11?21:17??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\Help.txt

?????文件????????189??2010-12-11?16:14??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Debug\示例數據.txt

?????文件?????152576??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Release\Circle?Fitting.exe

?????文件??????32256??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Release\Circle?Fitting.pdb

?????文件??????14328??2010-12-11?21:38??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Release\Circle?Fitting.vshost.exe

?????文件????????490??2007-07-21?01:33??Circle-Fitting\Circle?Fitting\Circle?Fitting\bin\Release\Circle?Fitting.vshost.exe.manifest

?????文件???????3951??2010-12-11?21:44??Circle-Fitting\Circle?Fitting\Circle?Fitting\Circle?Fitting.csproj

?????文件??????67646??2010-12-11?21:36??Circle-Fitting\Circle?Fitting\Circle?Fitting\designFloat?copy.ico

?????文件??????10069??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\Form1.cs

?????文件??????13136??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\Form1.Designer.cs

?????文件?????108192??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\Form1.resx

?????文件???????1055??2010-12-15?19:10??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle?Fitting.csproj.FileListAbsolute.txt

?????文件????????847??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle?Fitting.csproj.GenerateResource.Cache

?????文件?????153088??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle?Fitting.exe

?????文件??????34304??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle?Fitting.pdb

?????文件??????68212??2010-12-11?22:28??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle_Fitting.Form1.resources

?????文件????????180??2010-12-11?21:44??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Debug\Circle_Fitting.Properties.Resources.resources

?????文件????????621??2010-12-11?21:38??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle?Fitting.csproj.FileListAbsolute.txt

?????文件????????847??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle?Fitting.csproj.GenerateResource.Cache

?????文件?????152576??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle?Fitting.exe

?????文件??????32256??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle?Fitting.pdb

?????文件??????68212??2010-12-11?21:37??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle_Fitting.Form1.resources

?????文件????????180??2010-12-11?21:36??Circle-Fitting\Circle?Fitting\Circle?Fitting\obj\Release\Circle_Fitting.Properties.Resources.resources

?????文件????????495??2010-12-11?21:44??Circle-Fitting\Circle?Fitting\Circle?Fitting\Program.cs

?????文件???????1366??2010-12-07?19:42??Circle-Fitting\Circle?Fitting\Circle?Fitting\Properties\AssemblyInfo.cs

............此處省略26個文件信息